4.0 Article

Duality for Knizhnik-Zamolodchikov and Dynamical Operators

Publisher

NATL ACAD SCI UKRAINE, INST MATH
DOI: 10.3842/SIGMA.2020.035

Keywords

Knizhnik-Zamolodchikov operators; dynamical operators; the (glk,gln-duality

Funding

  1. Simons Foundation [430235]

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We consider the Knizhnik-Zamolodchikov and dynamical operators, both differential and difference, in the context of the (gl(k), gl(n))-duality for the space of polynomials in kn anticommuting variables. We show that the Knizhnik-Zamolodchikov and dynamical operators naturally exchange under the duality.

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